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Finding the Third Proportional to 243,023.63 and 364,533.75

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Solution

The third proportional to 243,023.63 and 364,533.75 is: 546,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,023.63 : 364,533.75 = 364,533.75 : x
  2. Step 2: Convert to fraction form
    243,023.63/364,533.75 = 364,533.75/x
  3. Step 3: Cross multiply
    243,023.63x = 364,533.75 × 364,533.75
  4. Step 4: Simplify right side
    243,023.63x = 132,884,854,889.06
  5. Step 5: Solve for x
    x = 132,884,854,889.06/243,023.63
  6. Step 6: Final answer
    x = 546,798.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.